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Finding the Third Proportional to 492,049.50 and 1,059,564

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Solution

The third proportional to 492,049.50 and 1,059,564 is: 2,281,631.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,049.50 : 1,059,564 = 1,059,564 : x
  2. Step 2: Convert to fraction form
    492,049.50/1,059,564 = 1,059,564/x
  3. Step 3: Cross multiply
    492,049.50x = 1,059,564 × 1,059,564
  4. Step 4: Simplify right side
    492,049.50x = 1,122,675,870,096
  5. Step 5: Solve for x
    x = 1,122,675,870,096/492,049.50
  6. Step 6: Final answer
    x = 2,281,631.97

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.